"Liouville number" meaning in English

{
  "etymology_text": "Named after Joseph Liouville (1809–1882), a French mathematician.",
  "forms": [
    {
      "form": "Liouville numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Liouville number (plural Liouville numbers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Number theory",
          "orig": "en:Number theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "An irrational number x with the property that, for every positive integer n, there exist integers p and q with q > 1 and such that 0<|x-p/q|<1/(qⁿ)."
      ],
      "hypernyms": [
        {
          "word": "transcendental number"
        }
      ],
      "id": "en-Liouville_number-en-noun-Q3xx4PCU",
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "irrational number",
          "irrational number"
        ],
        [
          "positive",
          "positive#English"
        ],
        [
          "integer",
          "integer#English"
        ]
      ],
      "raw_glosses": [
        "(number theory) An irrational number x with the property that, for every positive integer n, there exist integers p and q with q > 1 and such that 0<|x-p/q|<1/(qⁿ)."
      ],
      "related": [
        {
          "word": "Liouville-Arnold theorem"
        },
        {
          "word": "Liouville's equation"
        },
        {
          "word": "Liouville's formula"
        },
        {
          "word": "Liouville's theorem"
        }
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ],
      "wikipedia": [
        "Joseph Liouville",
        "Liouville number"
      ]
    }
  ],
  "word": "Liouville number"
}

{
  "etymology_text": "Named after Joseph Liouville (1809–1882), a French mathematician.",
  "forms": [
    {
      "form": "Liouville numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Liouville number (plural Liouville numbers)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "transcendental number"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Liouville-Arnold theorem"
    },
    {
      "word": "Liouville's equation"
    },
    {
      "word": "Liouville's formula"
    },
    {
      "word": "Liouville's theorem"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Number theory"
      ],
      "glosses": [
        "An irrational number x with the property that, for every positive integer n, there exist integers p and q with q > 1 and such that 0<|x-p/q|<1/(qⁿ)."
      ],
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "irrational number",
          "irrational number"
        ],
        [
          "positive",
          "positive#English"
        ],
        [
          "integer",
          "integer#English"
        ]
      ],
      "raw_glosses": [
        "(number theory) An irrational number x with the property that, for every positive integer n, there exist integers p and q with q > 1 and such that 0<|x-p/q|<1/(qⁿ)."
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ],
      "wikipedia": [
        "Joseph Liouville",
        "Liouville number"
      ]
    }
  ],
  "word": "Liouville number"
}